E. Laggiard et al., ONE-DIMENSIONAL BIMODAL MODEL OF VIBRATION AND IMPACTING OF INSTRUMENT TUBES IN A BOILING WATER-REACTOR, Nuclear science and engineering, 115(1), 1993, pp. 62-70
The vibration and impacting of an instrument tube in a boiling water r
eactor (B WR) have been studied using a one-dimensional bimodal model.
Four modal nonlinear boundary conditions have been applied, and a set
of coupled nonlinear equations describing the temporal evolution of t
wo continuous modal amplitudes have been obtained. These equations hav
e been numerically solved by means of a generalized Runge-Kutta algori
thm for stochastic equations. The theoretical results have been compar
ed with experimental in-core neutron noise measurements performed in a
1300-MW BWR, Gundremmingen C, and have been used to interpret the par
ticular vibration behavior of one instrument tube.